Glucose–insulin models
Glucose–insulin models describe regulation of blood glucose through insulin secretion and insulin-dependent glucose uptake.
Feedback structure
Rising glucose stimulates insulin secretion, while insulin promotes glucose removal. A schematic model is
\[\frac{dG}{dt}=I_G(t)-U(G,I),\]\[\frac{dI}{dt}=S(G)-k_I I,\]where \(I_G(t)\) represents glucose input, \(U\) glucose utilisation and \(S(G)\) insulin secretion.
Applications
Models are used to study glucose tolerance, insulin sensitivity and regulation, with parameters estimated from physiological data.
Key idea. Glucose–insulin dynamics form a feedback-control system in which glucose influences insulin and insulin alters glucose removal.